continuous function

function such that the preimage of an open set is open
rdfs:label
"continuous function"@en
skos:altLabel
"continuous application"@en
"continuous map"@en
"continuous transformation"@en
schema:description
"function such that the preimage of an open set is open"@en
schema:dateModified "2026-08-13T09:22:04+00:00"^^xsd:dateTime
schema:version 2530824788
wikibase:identifiers 30
wikibase:sitelinks 71
wikibase:statements 44
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p:direct-normalized/P227 <https://d-nb.info/gnd/4183162-7>
p:direct-normalized/P244 <http://id.loc.gov/authorities/names/sh85052334>
p:direct-normalized/P268 <http://data.bnf.fr/ark:/12148/cb12123565q#about>
p:direct-normalized/P3285 <http://msc2010.org/resources/MSC/2010/26A15>
p:direct-normalized/P508 <http://purl.org/bncf/tid/53874>
p:direct-normalized/P6366 <https://makg.org/entity/184825909>
p:direct-normalized/P7033 <http://vocabulary.curriculum.edu.au/scot/15143>
wdt:P10283 "C2991919592"
wdt:P1036 "515.222"
wdt:P1051 "7382"
wdt:P10565 "157407"
wdt:P12385 "funcio-continua"
wdt:P12888 "df-cn"
"df-cnp"
wdt:P1296 "0153274"
wdt:P1343 Armenian Soviet Encyclopedia, vol. 1
wdt:P13591 "concept/60cdf67d-17f0-467b-9c96-f6f88fea1dba"
wdt:P1368 "000193599"
wdt:P1417 "topic/continuous-function"
wdt:P14534 "Continuous"
wdt:P14541 "3xuNsh"
wdt:P1552 continuity
wdt:P1889 continuity
real-valued continuous function of a real variable
wdt:P227 "4183162-7"
wdt:P244 "sh85052334"
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi><mo stretchy="false">:</mo><mo stretchy="false">(</mo><mi>X</mi><mo>,</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false" accent="false">&#x2192;</mo><mo stretchy="false">(</mo><mi>Y</mi><mo>,</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo><mspace width="1em"></mspace><mo stretchy="false">&#x2227;</mo><mspace width="1em"></mspace><mi mathvariant="normal">&#x2200;</mi><mspace width="0.167em"></mspace><mi>U</mi><mo stretchy="false">&#x2208;</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">:</mo><mspace width="1em"></mspace><msup><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><mo stretchy="false">(</mo><mi>U</mi><mo stretchy="false">)</mo><mo stretchy="false">&#x2208;</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P268 "12123565q"
wdt:P279 piecewise continuous function
wdt:P2812 "ContinuousFunction"
"ContinuousMap"
wdt:P31 type of mathematical function
wdt:P3219 "continuite-mathematique"
wdt:P3285 "26A15"
wdt:P4215 "continuous map"
wdt:P460 continuous function
wdt:P461 discrete function
discontinuous function
wdt:P508 "53874"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "184825909"
wdt:P646 "/m/01tz_"
wdt:P6564 "continuous-functions"
wdt:P7033 "scot/15143"
wdt:P7554 "Continuous_function"
wdt:P8189 "987007553158805171"
wdt:P8313 "kontinuitet"
wdt:P910 Category:Continuity (functions)
wdt:P935 "Continuous function"
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